Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients

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초록

We obtain Calderon-Zygmund-type estimates for parabolic equations with Orlicz growth, where nonlinearities involved in the equations may be discontinuous for the space and time variables. In addition, we consider parabolic systems with the Uhlenbeck structure.

키워드

degenerate parabolic equations; general growth; discontinuous coefficients; Calderon-Zygmund estimates; Orlicz spaces; ELLIPTIC PROBLEMS; SYSTEMS; REGULARITY; EQUATIONS
제목
Gradient estimates for parabolic problems with Orlicz growth and discontinuous coefficients
저자
Oh, Jehan; Ok, Jihoon
DOI
10.1002/mma.7845
발행일
2022-09-30
유형
Article
저널명
Mathematical Methods in the Applied Sciences
권
45
호
14
페이지
8718 ~ 8736